arris-math 0.2.0

Arris kernel: points, vectors, frames, intervals, exact predicates, root finding and Precision
Documentation
# arris

A B-Rep geometric kernel written from scratch in Rust.

An *arris* is the sharp edge where two surfaces meet — the thing a B-Rep kernel exists to compute.

Arris is a library, not an application: it builds solids, cuts and fuses
them, blends their edges, measures, tessellates and exports them. It carries
a tolerance on every entity rather than one global epsilon, returns a typed
error naming the entities involved rather than panicking on geometry it
cannot do, and returns a provenance record from every operation so that a
parametric application can name the faces an operation made. Same input,
same output, same entity ids, on every platform. Pure Rust, no `unsafe`,
builds for `wasm32`.

## State

Pre-1.0 and under development. The public API breaks between minor versions,
and each break is listed in the release's commit. What is in today:

- primitives, rigid transforms, and extrude and revolve of a profile of
  lines, arcs and elliptic arcs;
- booleans — cut, fuse, common — over planar and cylindrical faces, with
  multi-shell results (cavities, split cuts, disjoint fuses) and a typed
  refusal for the surface pairs that are not in yet;
- constant-radius fillet and chamfer on plane–plane and plane–cylinder
  edges, with miters, corners and hole rims;
- cone, sphere and torus faces, checked and measured, meeting through their
  meridians on a shared axis;
- tessellation to a chord tolerance, mass properties (volume, centroid,
  inertia), plane projection and face frames;
- STEP AP214 export, STL and OBJ export, and a deterministic native format
  in JSON and bytes.

Not in yet: free-form NURBS surfaces and curves, variable-radius blends,
sheet and non-manifold bodies, a STEP reader, booleans on cone, sphere,
torus or elliptic-cylinder faces, and booleans whose operands would meet in
a quartic intersection curve. Each of
those is a typed refusal today, never a wrong answer.

## Correctness

Every operation returns a shape that passes the invariant checker, and the
checker runs after every operation in debug builds. Every fixture in the
test corpus carries an oracle value — volume, area, centroid, counts, point
classifications — computed by Open CASCADE, which Arris must match within
the fixture's stated tolerance. Open CASCADE is run as the oracle through
Python; it is never a build or runtime dependency, and `PROVENANCE.md` says
how it is used and read. Properties (volume additivity, cut-then-fuse,
commutativity, STEP round-trip) are tested over random operands in random
poses from a fixed seed.

## Workspace

Arris is a Cargo workspace. `crates/arris` is the facade a consumer depends
on; it re-exports the layered crates beneath it — `arris-math`, `arris-geom`,
`arris-topo` (the representation), `arris-check` (the invariant checker),
`arris-ops`, `arris-mesh`, `arris-io` (the algorithms) and `arris-debug`
(dev-facing: rasteriser, fixtures, property-test strategies; it is not
published). A crate never depends on one above it; `tools/check-layers.sh`
enforces that in CI and in the pre-commit hook. The layout and the reasons
are in `docs/ARCHITECTURE.md`; `tools/oracle/` is the Open CASCADE test
oracle, run through Python and never linked.

## Licence

MIT or Apache-2.0, at your option. See `LICENSE-MIT` and `LICENSE-APACHE`.